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Which ordered pair is a solution of the equation?

4x-1=3y+5
Choose 1 answer:
(A) 
Only(3,2)
(B) Only 
(2,3)
(c) Both 
(3,2) and 
(2,3)
(D) Neither

Which ordered pair is a solution of the equation?\newline4x1=3y+5 4 x-1=3 y+5 \newlineChoose 11 answer:\newline(A) Only (3,2) (3,2) \newline(B) Only (2,3) (2,3) \newline(C) Both (3,2) (3,2) and (2,3) (2,3) \newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newline4x1=3y+5 4 x-1=3 y+5 \newlineChoose 11 answer:\newline(A) Only (3,2) (3,2) \newline(B) Only (2,3) (2,3) \newline(C) Both (3,2) (3,2) and (2,3) (2,3) \newline(D) Neither
  1. Problem Understanding: Understand the problem.\newlineWe need to determine which ordered pair (x,y)(x, y) satisfies the equation 4x1=3y+54x - 1 = 3y + 5.
  2. Substituting (3,2)(3, 2): Substitute the xx and yy values from option (A) into the equation.\newlineFor the ordered pair (3,2)(3, 2), substitute x=3x = 3 and y=2y = 2 into the equation and check if both sides are equal.\newline4(3)1=3(2)+54(3) - 1 = 3(2) + 5\newline121=6+512 - 1 = 6 + 5\newline11=1111 = 11\newlineThe equation is balanced, so (3,2)(3, 2) is a solution.
  3. Substituting 2,32, 3: Substitute the xx and yy values from option (B) into the equation.\newlineFor the ordered pair 2,32, 3, substitute x=2x = 2 and y=3y = 3 into the equation and check if both sides are equal.\newline4(2)1=3(3)+54(2) - 1 = 3(3) + 5\newline81=9+58 - 1 = 9 + 5\newline7147 \neq 14\newlineThe equation is not balanced, so 2,32, 3 is not a solution.
  4. Determining the Correct Answer: Determine the correct answer based on the previous steps.\newlineSince (3,2)(3, 2) is a solution and (2,3)(2, 3) is not, the correct answer is option (A) Only (3,2)(3, 2).

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